High Energy Efficient Perfect Gaussian Integer Sequence Design Based on Second Order Cyclotomic Classes

ZHAO Wei; HUANG Lei; JIA Yanguo; SHEN Xiumin

doi:10.11999/JEIT220591

Volume 45 Issue 6

Jun. 2023

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ZHAO Wei, HUANG Lei, JIA Yanguo, SHEN Xiumin. High Energy Efficient Perfect Gaussian Integer Sequence Design Based on Second Order Cyclotomic Classes[J]. Journal of Electronics & Information Technology, 2023, 45(6): 1952-1958. doi: 10.11999/JEIT220591

Citation:

ZHAO Wei, HUANG Lei, JIA Yanguo, SHEN Xiumin. High Energy Efficient Perfect Gaussian Integer Sequence Design Based on Second Order Cyclotomic Classes[J]. Journal of Electronics & Information Technology, 2023, 45(6): 1952-1958. doi: 10.11999/JEIT220591

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High Energy Efficient Perfect Gaussian Integer Sequence Design Based on Second Order Cyclotomic Classes

doi: 10.11999/JEIT220591

School of Information Science and Engineering, The Key Laboratory for Computer Virtual Technology and System Integration of Hebei Province, Yanshan University, Qinhuangdao 066004, China

Funds: The National Natural Science Foundation of China (61601401), The Natural Science Foundation of Hebei Province (F2018203057, F2020203043), The Research Project for Science and Technology in Higher Education of Hebei (QN2021144), The Innovation Capability Improvement Plan Project of Hebei Province (22567626H)

Received Date: 2022-05-10
Rev Recd Date: 2022-06-22

Available Online: 2022-06-25

Publish Date: 2023-06-10

Abstract

Abstract

Perfect Gaussian Integer Sequence (PGIS) has been widely used in Code Division Multiplexing (CDM) systems and Orthogonal Frequency Division Multiplexing (OFDM) systems because of its good anti-interference, high transmission rate and high frequency spectrum utilization. In this paper, Gaussian Integer Sequence (GIS) is decomposed into real part sequence and imaginary part sequence, and then second-order and third-order PGIS are constructed by second-order cyclotomy of real part sequence and imaginary part sequence. A new method of extending odd length PGIS to even length PGIS is proposed. The energy efficiency of most PGIS constructed in this paper is higher than 95%, and expands the address selection space of spread spectrum communication system, which is of great significance to engineering practice.
- Perfect Gaussian Integer Sequence(PGIS),
- Cyclotomic classes,
- Autocorrelation function,
- Cross correlation function,
- Energy efficiency

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References(15)

References

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